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Finding the Fourth Proportional to 815.26, 1,223.24 and 523.09

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Solution

The fourth proportional to 815.26, 1,223.24 and 523.09 is: 784.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    815.26 : 1,223.24 = 523.09 : x
  2. Step 2: Convert to fraction form
    815.26/1,223.24 = 523.09/x
  3. Step 3: Cross multiply
    815.26x = 1,223.24 × 523.09
  4. Step 4: Simplify right side
    815.26x = 639,864.61
  5. Step 5: Solve for x
    x = 639,864.61/815.26
  6. Step 6: Final answer
    x = 784.86

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.